Signed-magnitude Representation

What is Signed-magnitude Representation?

The representation of decimal numbers in everyday business is commonly called the signed-magnitude representation.

In this system, a number consists of a magnitude and a symbol which indicates whether the magnitude is positive or negative.

Thus the decimal numbers + 79, - 82, - 25.2 etc. are interpreted in the usual manner.

This mode of representation can be incorporated to binary numbers quite easily by using an extra bit position to represent the sign. This extra bit is called the SIGN BIT and is placed before the magnitude of the number to be represented. Generally, the MSB is the sign bit and the convention is that when the sign bit is 0, the number represented is positive and when the sign bit is 1, the number is negative.

A few examples of 8-bit signed-magnitude binary numbers along with their decimal equivalents are given below to show the point.

(i) (01101101)2           =           +(109)10

(ii) (11101101)2          =           -(109)10

(iii) (00101011)2         =            +(43)10

(iv) (10101011)2         =            -(43)10

(v) (00000000)2         =             +(0)10

(vi) (10000000)2        =             -(0)10

We note that in signed-magnitude representation two possible representations of zero may be obtained.

Binary Numbers

  • Why Binary Numbers are Used
  • Binary to Decimal Conversion
  • Conversion of Numbers
  • Hexa-decimal Number System
  • Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
  • Octal and Hexa-Decimal Numbers
  • Signed-magnitude Representation
  • Radix Complement
  • Diminished Radix Complement
  • Arithmetic Operations of Binary Numbers

From Signed-magnitude Representation to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Estimating Sum and Difference | Reasonable Estimate | Procedure | Math

    May 22, 24 06:21 PM

    The procedure of estimating sum and difference are in the following examples. Example 1: Estimate the sum 5290 + 17986 by estimating the numbers to their nearest (i) hundreds (ii) thousands.

    Read More

  2. Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules

    May 22, 24 06:14 PM

    Round off to Nearest 1000
    While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the digit in the hundreds place is = to or > 5…

    Read More

  3. Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules

    May 22, 24 05:17 PM

    Round off to Nearest 100
    While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the…

    Read More

  4. Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule

    May 22, 24 03:49 PM

    Rounding to the Nearest 10
    Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number…

    Read More

  5. Rounding Numbers | How do you Round Numbers?|Nearest Hundred, Thousand

    May 22, 24 02:33 PM

    rounding off numbers
    Rounding numbers is required when we deal with large numbers, for example, suppose the population of a district is 5834237, it is difficult to remember the seven digits and their order

    Read More